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Finding the Fourth Proportional to 12,382, 18,575.88 and 4,174

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Solution

The fourth proportional to 12,382, 18,575.88 and 4,174 is: 6,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382 : 18,575.88 = 4,174 : x
  2. Step 2: Convert to fraction form
    12,382/18,575.88 = 4,174/x
  3. Step 3: Cross multiply
    12,382x = 18,575.88 × 4,174
  4. Step 4: Simplify right side
    12,382x = 77,535,723.12
  5. Step 5: Solve for x
    x = 77,535,723.12/12,382
  6. Step 6: Final answer
    x = 6,261.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.